There isn't a post office near me and I don't have a car. I come home at 9-10 PM every day and the post office closes before then. Do I now have to leave work to get my packages? Do I have to use Uber when I receive a large package? This is not a viable solution for a lot of people.
In this universe I would imagine 24 hour pickup windows being a thing.
Or even just more no-human-needed deposit lockers like Amazon hub.
I definitely understand how this works less well in the current reality. Though you can do local reorganization of this (for example you have deposit lockers for an entire neighborhood in a specific part that is easy to access for everyone, and now the mail delivery takes only 30 minutes or so instead of 6 hours).